共查询到20条相似文献，搜索用时 31 毫秒
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对具有任意阶非线性薛定谔方程的行波解进行了研究。给出具有任意阶非线性薛定谔方程的精确解。利用行波变换和辅助函数法把具有任意阶非线性薛定谔方程最终转化为一个非线性常微分方程的解,通过对这个微分方程的研究可以得到具有任意阶非线性薛定谔方程的行波解。具有任意阶非线性薛定谔方程存在的孤立波解、三角孤立波解、扭孤立波解、Jacobi椭圆函数解。得到了具有任意阶非线性薛定谔方程新的Jacobi椭圆函数解。 相似文献
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利用G′/G展开方法求解摄动的Wadati-Segur-Ablowitz（WSA）方程的解,并得到该方程推广形式的行波解,这几组行波解对Schrdinger方程的适定性的研究、可变为Lienard方程形式的一类非线性偏微分方程行波解的求解都有重要意义.为了更好的理解这几组行波解,给出了解的数值模拟图,通过数值模拟图可以直观的了解WSA方程中摄动项对方程波幅的影响. 相似文献
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基于齐次平衡法的思想,利用G′G-展开法求得KdV-Burgers-Kuramoto方程的精确解,这些解更具有一般性,其中包括了双曲函数解、三角函数周期解、有理数解。同时,这些解对于研究湍流运动和不稳定现象有重要意义。为更好的描述这些解,给出了三角函数周期解及扭状解的数值模拟图。 相似文献
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位错理论是现代地震学中计算地球内部位错源引起的地表变形的重要理论模型。诸多学者对准静态位错理论模型进行了研究,其中大量工作是在前人给出的基本解的基础上进行的。回顾了位错理论模型的基本物理方程,包括平衡方程、本构关系和泊松方程,并分别推导了无自重、不可压缩、自重可压缩的地球模型下的通解。给出的基本解可以用于进一步理解和计算一维径向分层的地震变形问题。 相似文献
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从正压涡度方程出发,在弱非线性和弱基流切变条件下,导得了描述非线性大气长波活动的推广的Ｋｄｖ方程,并得到了方程的孤立波解及其色散关系。取近似于实际大气运动的物理参数作数值计算,得到了振荡型Ｒｏｓｂｙ孤立波的水平结构和移动特征,其结果较之寻常的Ｋｄｖ孤立波更接近于实际大气中的阻塞流型。 相似文献
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《山地科学学报》2015,(1)
Fractal geometry is increasingly becoming a useful tool for modeling and quantifying the complex patterns of natural phenomena. The Earth's topography is one of these phenomena that have fractal characteristics. This paper investigates the relative sensitivity of topography to active tectonics using ASTER Global Digital Elevation Model. The covering divider method was used for direct extraction of surface fractal dimension(D surf) to estimate the roughness-surface of topography with aid of geographic information system(GIS)techniques. This evaluation let us highlight the role of the geomorphic and tectonic processes on the spatial variability of fractal properties of natural landforms.Geomorphic zones can be delineated using fractal dimension mapping in which variability of surface fractal dimension reflects the roughness of the landform surface and is a measure of topography texture. Obtained results showed this method can be a quick and easy way to assess the distribution of land surface deformation in different tectonic settings. The loose alluvial deposits and irregularities derived by tectonic activity have high fractal dimensions whereas the competent formations and higher wavelength folded surfaces have lower fractal dimensions.According to the obtained results, the Kazerun Fault Zone has a crucial role in the separation of the Zagros Mountain Ranges into the different lithological,geomorphological and structural zones. 相似文献
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Singularly perturbed solution of coupled model in atmosphere-ocean for global climate 总被引：1，自引：1，他引：0
A box model of the interhemispheric thermohaline circulation （THC） in atmosphere-ocean for global climate is considered. By using the multi-scales method, the asymptotic solution of a simplified weakly nonlinear model is discussed. Firstly, by introducing first scale, the zeroth order approximate solution of the model is obtained. Secondly, by using the multi-scales, the first order approximate equation of the model is found. Finally, second order approximate equation is formed to eliminate the secular terms, and a uniformly valid asymptotic expansion of solution is decided. The multi-scales solving method is an analytic method which can be used to analyze operation sequentially. And then we can also study the diversified qualitative and quantitative behaviors for corresponding physical quantities. This paper aims at providing a valid method for solving a box model of the nonlinear equation. 相似文献
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基于国家重力基准网观测数据,采用正则化方法对LCR-G型相对重力仪周期项参数进行筛选,并分析平差解算的结果。结果表明,当惩罚因子λ取80时,正则化方法筛选相对重力仪周期项的效果良好,正则化参数α值的变化对周期项筛选结果影响甚微;周期项振幅量级最大超过10 μGal,且对重力基准网平差重力值结果的影响达到μGal量级;相对重力仪的周期会随着观测环境或者时间变化,导致解算结果不一致,这是由于周期函数模型与实际周期变化有差异,模型只能近似而不能真正模拟周期的变化。 相似文献
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1 ＩｎｔｒｏｄｕｃｔｉｏｎＷｉｔｈｔｈｅｄｅｖｅｌｏｐｍｅｎｔｏｆｃｏｍｐｕｔｉｎｇｔｅｃｈｎｉｑｕｅｓｔｈｅｒｅｓｅａｒｃｈｏｆｉｎｖｅｒｓｅｐｒｏｂｌｅｍｓｈａｓｅｘｔｅｎｓｉｖｅｌｙｂｅｅｎｕｓｅｄｉｎｍａｎｙｓｃｉｅｎｔｉｆｉｃｆｉｅｌｄｓ .Ｔｈ 相似文献
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在不同的天气条件下,由于气溶胶对光波的散射作用,通过成像系统获得的图像都会有一定程度的退化。利用图像的退化模型可以获取与天气现象相关的参量,从而达到识别天气的目的。对不同天气条件下得到的同一场景图进行研究,运用多垂线检测法,检测出不同天气条件下直线模糊边缘上的灰度值,采用signloid函数拟合出刃边函数,进而求出线扩散函数。通过分析线扩散函数的变化规律,总结出其与天气现象之间的紧密联系。测试结果表明,应用该方法对于晴天、薄雾、雨、霾、沙尘暴等天气现象具有一定的判别效果。 相似文献
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基于10 a以上的全球GPS台站数据,利用主成分分析法及其他数据处理方法,对台站时间序列进行预处理和结果分析,研究其中的非线性周期规律,探讨时间序列的主要影响机制。结果表明,主成分分析法可以将台站残差时空矩阵分解成若干正交成分,GPS台站时间序列的东西方向具有线性漂移趋势,全球大部分GPS台站都存在非线性周期规律,周年项和半周年周期占据主导地位。 相似文献
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The vertical temperature profiles of snow and sea ice have been measured in the Arctic during the 2nd Chinese National Arctic Research Expedition in 2003(CHINARE2003).The high-resolution temperature profile in snow is solved by one-dimensional heat transfer equation.The effective heat diffusivity,internal heat sources are identified.The internal heat source refers to the penetrated solar radiation which usually warms the lower part of the snow layer in summer.By temperature gradient analysis,the zero level can be clarified quantitatively as the boundary of the dry and wet snow.According to the in situ time series of vertical temperature profile,the time series of water content in snow is obtained based on an evaluation method of snow water content associated with the snow and ice physical parameters.The relationship of snow water content and snow temperature and temporal-spatial distribution of snow water content are presented 相似文献
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《中国海洋湖沼学报》2021,(4)
The resolution of ocean reanalysis datasets is generally low because of the limited resolution of their associated numerical models.Low-resolution ocean reanalysis datasets are therefore usually interpolated to provide an initial or boundary field for higher-resolution regional ocean models.However,traditional interpolation methods(nearest neighbor interpolation,bilinear interpolation,and bicubic interpolation) lack physical constraints and can generate significant errors at land-sea boundarie s and around islands.In this paper,a machine learning method is used to design an interpolation algorithm based on Gaussian process regression.The method uses a multiscale kernel function to process two-dimensional space meteorological ocean processes and introduces multiscale physical feature information(sea surface wind stress,sea surface heat flux,and ocean current velocity).This greatly improves the spatial resolution of ocean features and the interpolation accuracy.The effectiveness of the algorithm was validated through interpolation experiments relating to sea surface temperature(SST).The root mean square error(RMSE)of the interpolation algorithm was 38.9%,43.7%,and 62.4% lower than that of bilinear interpolation,bicubic interpolation,and nearest neighbor interpolation,respectively.The interpolation accuracy was also significantly better in offshore area and around islands.The algorithm has an acceptable runtime cost and good temporal and spatial generalizability. 相似文献
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The inverse problem of wave equation is the importance of study not only in seismic prospecting but also in applied mathematics. With the development of the research, the inverse methods of 1 - D wave equations have been trending towards the multiple parameters inversion . We have obtained an inverse method with double -parameter, in which medium density and wave velocity can be derived simultaneously. In this paper, to increase the inverse accuracy, the method is improved as follows. Firstly, the formula in which the Green Function is omitted are derived and used. Secondly, the regularizing method is reasonable used by choosing the stable function. With the new method, we may derive elastic parameter and medium density or medium density and wave velocity. Thus, lithology parameters for seismic prospecting may be obtained.After comparing the derived values from the new method with that from previous method, we obtain the new method through which substantially improve the derived accuracy . The new method has been applied to real depths inversion for sedimentary strata and volcanic rock strata in Chaoyanggou Terrace of Songliao Basin in eastern China. According to the inverse results,the gas - bearing beds are determlned. 相似文献
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The inverse problem of wave equation is the importance of study not only in seismic prospecting but also in ap-plied mathematics. With the development of the research, the inverse methods of 1 - D wave equations have been trending to-wards the multiple parameters inversion . We have obtained an inverse method with double - parameter, in which medium density and wave velocity can be derived simultaneously. In this paper, to increase the inverse accuracy, the method is im-proved as follows. Firstly, the formula in which the Green Function is omitted are derived and used. Secondly, the regulari-zing method is reasonable used by choosing the stable function. With the new method, we may derive elastic parameter and medium density or medium density and wave velocity. Thus, lithology parameters for seismic prospecting may be obtained. After comparing the derived values from the new method with that from previous method, we obtain the new method through which substantially improve the derived accuracy . The new 相似文献
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通过分析广西4个探空站资料，结合GGOS Atmosphere格网Tm数据，建立随高程增大的温度递减率模型。根据温度递减率模型分别采用反距离加权法、双线性插值法、新反距离加权法和新双线性插值法计算探空站Tm，通过分析插值误差建立广西非气象参数Tm模型，并与Bevis模型、中国东部模型、广西模型进行比较。结果表明，温度递减率模型的Tm插值精度相对其他3种模型有比较明显的提升，4种方法的平均绝对误差（MAE）和均方根误差（RMSE）在1~2 K之间；广西非气象参数Tm模型的插值精度得到进一步提高，百色站的MAE约为2 K，其余站点的MAE和RMSE均在1 K左右，能满足可降水量反演的精度要求。 相似文献
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This study develops an analytical solution for oblique wave interaction with a comb-type caisson breakwater based on linear potential theory. The fluid domain is divided into inner and outer regions according to the geometrical shape of breakwater. By using periodic boundary condition and separation of variables, series solutions of velocity potentials in inner and outer regions are developed. Unknown expansion coefficients in series solutions are determined by matching velocity and pressure of continuous conditions on the interface between two regions. Then, hydrodynamic quantities involving reflection coefficients and wave forces acting on breakwater are estimated. Analytical solution is validated by a multi-domain boundary element method solution for the present problem. Diffusion reflection due to periodic variations in breakwater shape and corresponding surface elevations around the breakwater are analyzed. Numerical examples are also presented to examine effects of caisson parameters on total wave forces acting on caissons and total wave forces acting on side plates. Compared with a traditional vertical wall breakwater, the wave force acting on a suitably designed comb-type caisson breakwater can be significantly reduced. This study can give a better understanding of the hydrodynamic performance of comb-type caisson breakwaters. 相似文献
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利用磁静日时序叠加方法和FFT频谱分析方法对红池坝地电场观测资料进行逐月处理,并与巫山建坪台地磁观测资料进行对比,分析红池坝地电场静日变化特征;计算红池坝台站磁暴期间产生的感应电场,与地电场观测数据对比,分析地电暴的特征。结果表明,静日随着月份的变化,相位发生变化,与巫山建坪地磁Sq变化一致;1月、2月、11月、12月的地电场日变幅明显小于其他月份;地电场显著周期成分与磁静日地磁场相同,并且通过周期成分的逐月对比分析得到,地电场与地磁D分量的不同周期成分的频谱值随时间的变化基本一致;某一方向的地电暴与该垂直方向的磁暴和该地区的电性结构有关;地电暴观测值与地磁感应电流计算值呈线性关系;地电暴变化与K值呈指数关系。 相似文献
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